Van der Waals materials integrated nanophotonic devices [ Invited ]

Emerging van der Waals materials exhibit a wide range of optical and electronic properties, making them attractive for nanophotonic devices. Due to the nature of van der Waals interactions, this new class of materials can be readily integrated with other existing nanophotonic structures, leading to novel device architectures and operating principles. In this review, we will present the progress of active nanophotonics, realized by integrating van der Waals materials with on-chip optical waveguides or resonators. Additionally, we will review the emerging research area in van der Waals nanophotonics, where the nanophotonic structures are fully made of van der Waals materials. A variety of van der Waals nanophotonic structures, ranging from ultrathin Fresnel lens, metasurfaces to photonic crystal cavities and their potential impacts on miniaturized optical system and quantum technology will be discussed. © 2019 Optical Society of America under the terms of the OSA Open Access Publishing Agreement


Introduction
Integrated nanophotonics hold the key for ultimate miniaturization of optical devices, while simultaneously achieving energy-efficiency and high speed operation [1], with far-reaching impact on the next-generation optical information processing, communication and sensing systems.Several recent works demonstrated an unprecedented level of integration of photonic devices, primarily enabled by semiconductor nanofabrication [2,3].Going beyond traditional applications involving optical transceivers for data-communication [4], the photonic integrated circuits are finding applications in optical information processing [5], quantum simulation [6], linear optical quantum computing [7], and optical phased array [7,8].While novel device design and fabrication are necessary to advance this research field, a crucial component is new material systems to realize active devices, including light sources, modulator, detectors and nonlinear optical structures.In this regard, low-dimensional materials, such as quantum confined structures hold great promise, primarily due to the enhanced density of states, leading to energy efficient and compact devices.
One such low-dimensional material is atomically thick layered van der Waals (vdW) materials.This new class of material are alluring for optoelectronics applications, as they have a wide range of optical band gap and electrical transport properties [9][10][11].For example, graphene is a semi-metal with zero band gap, while transition metal dichalcogenides (TMDCs) and black phosphorous (BP) are semiconductors with band gap covering the technologically important visible and infrared wavelength regimes.Hexagonal boron nitride (hBN) is an atomically-thin insulator with excellent thermal stability and chemical inertness.Beyond usual optoelectronic properties, several newly discovered vdW materials show correlated characteristics in the two-dimensional (2D) limit, such as superconductivity, ferroelectricity and ferromagnetism [11][12][13][14].These unconventional material properties could potentially increase the functionalities of devices at the nanoscale.And most importantly, due to the nature of vdW interactions, the layered materials can be integrated onto different substrates, which makes them a promising candidate for integrated photonics applications [15,16].
In this paper, we review the current status of various active devices, including light emitters, modulators, photodetectors and nonlinear optical structures, enabled by vdW or 2D (i.e.vdW material in the single-layer limit) materials integrated with nanophotonic structures, such as waveguides or nano-resonators.We then highlight the new opportunities of integrated nanophotonics, created by patterning vdW materials themselves into nanostructures.The future directions and challenges of vdW photonics are also discussed.

Light emitters integrated with nanophotonics
On-chip light emitters are crucial components for any integrated photonic system.vdW materials with direct band gap in the monolayer limit are extremely attractive for creating such light sources.Unlike the wafer-bonding of III-V material on silicon, vdW materials can be easily integrated with the underlying large-scale photonic integrated circuit, fabricated via CMOS-compatible manufacturing.Photoluminescence (PL) from TMDCs have shown their band gaps are from the near-infrared to the visible spectral region (1-2.5 eV) [9,10].BP has also garnered significant attention, as its band gap and electronic structure are layerdependent, with band gaps spanning from 0.3 eV in bulk to 2 eV in monolayer [10].More strikingly, when the thickness of these vdW materials approach the atomic limit, weak dielectric screening from the environment has been predicted to cause strong Coulomb interactions of photoexcited electron-hole pairs and thus, form strongly bound excitons (~hundreds of meV) [17].Such a phenomenon has yet to be observed in bulk semiconductors but is particularly beneficial for developing light emitting devices.Despite these promising characteristics, the emitted power of ultrathin materials is too low for practical applications.Using nanophotonic resonators, however, we can enhance the light emission due to temporal and spatial confinement of light.

Enhanced light-matter interactions
Optical cavities can trap photons for substantial period of time and manipulate the electromagnetic environment (i.e. the local optical density of states).Thus, they can significantly modify the emission and absorption characteristics of materials.The efficacy of 2D material integrated devices was in part demonstrated by Wu et al., who transferred a monolayer tungsten diselenide (WSe 2 ) onto a linear three-hole (L3) defect gallium phosphide photonic crystal cavity (PhCC) [Fig.1(a)] [18].The resonance wavelength of PhCC overlaps with the PL spectrum of WSe 2 , and the cavity quality factor is ~180.The PL collected from the cavity region shows a prominent cavity-enhanced peak, with an intensity ~60 times stronger than the off photonic crystal region [Fig.1(b)].Additionally, the cavity-enhanced PL is linearly polarized and aligned with the polarization of the corresponding cavity mode [Fig.1(c)].A similar experiment was reported with MoS 2 [19], and cavity-enhanced PL was also observed by several research groups by integrating 2D onto different linear line defect PhCC, distributed Bragg reflector (DBR), microdisk optical resonators [19][20][21] and 1D photonic crystal cavities made of silicon nitride [22] and silicon dioxide [23].We note that, however, the Purcell enhancement of TMDCs depends only on the cavity mode-volume and not quality factor, as the TMDC exciton-cavity operates at the good cavity regime (i.e.emitter linewidth larger than the cavity linewidth) [24,25].Broad emitters coupled with large non-radiative decay of the TMDCs exciton further makes accurate measurement of the Purcell enhancement difficult.
While most of the research on cavity enhanced light emission from vdW materials focus on weak coupling regime, few works involving DBR resonators demonstrated strong coupling of the cavity mode and 2D exciton.The resulting exciton-polariton systems are probed by either energy crossing at ro has also bee [29,30].

Optically
Although the behaviors we cavities.One further impro instance, the transfer by op 1(d-e)].Add microdisk str resonance wit gain, and the under cryogen regime via im 1(g)] [33].Mo also demonstr in Fig. 1(h).which was att second-order  however, concepts es (LED).plane 2D-].But the external quantum efficiency is only ~1%, and the light emitting area is limited to within the junction area (typically less than 1 µm).Withers et al. utilized the dry transfer technique to create a vdW tunneling diode, consisting of a monolayer TMDCs sandwiched between two tunneling contacts formed by graphene and hexagonal boron nitride [39].Built on this design, the LED can exhibit higher quantum efficiency (~10%) and electroluminescence (EL) can occur from the whole TMDCs area.To enhance the efficiency, Liu et al. further proposed a novel device concept by integrating a gallium phosphide PhCC (Q~100) on top of a vdW LED [40], as shown in Fig. 2(a).The device demonstrated cavity-enhanced (>4 times, Fig. 2(b)) and highly linear polarized (84%) EL at room temperature, with a direct modulation speed of ∼1 MHz [Fig.2(c)].This reported speed is faster than the most in-plane optoelectronics based on TMDCs, as the current injections of those in-plane devices are usually limited by TMDCs/metal Schottky barriers.More importantly, the observation of cavity-enhanced EL suggests the possibility to realize an electrically-pumped laser in this platform.

Modulator
As one of the most crucial technologies in nanophotonics, optical modulation has been extensively studied aiming for high-performance optical interconnects, sensing, information processing, and beam steering [41].vdW materials have been used to create broadband, compact, energy-efficient, and ultrafast optical modulators, and their extreme thinness can potentially enable ultra-low energy operation.

Electro-optic modulators
Electro-optic modulation is the most investigated technology in current vdW material-based optical modulators targeting high-speed applications.These devices primarily utilize the gatetunable electro-absorption or electro-refractive effect in graphene.Liu et al. was the first to demonstrate a broadband (1.35 μm to 1.6 μm), high-speed (1 GHz), and compact (25 μm 2 ) waveguide-integrated electro-absorption modulator based on monolayer graphene [Fig.3(a)] [42].By electrically tuning the Fermi level of the graphene sheet in a carrier-accumulation capacitor structure [Fig.3(b)], the transmission of the device was modulated by 0.1 dB/μm due to Pauli blocking effect [Fig.3(c)].Built on this foundation, the double-layer graphene structure was proposed, which can provide better modulation depth (0.16 dB/μm) [43], with an insertion loss ~0.9 dB [44].Additionally, the double-layer graphene optical modulators can avoid the slow carrier transport in silicon [42,45], allowing for operation speeds approaching 35 GHz [44].
Whereas the increased modulation helps reduce the footprint and energy consumption, further improvement of these figures of merit requires stronger light-matter interaction.One effective solution is to conduct optical modulation by integrating vdW materials with optical cavities, such as PhCC [46,47], microring resonators [48,49], or nanobeam cavities [50].Gao et al. reported a graphene-hBN heterostructure-based electro-optic modulator coupled with a silicon PhCC [Fig.3(d)], and its active area is only ~0.5 μm 2 [51].Similarly, Phare et al. utilized a silicon nitride microring resonator [Fig.3(e)] and demonstrated a 30 GHz graphene electro-optic modulator based on the critical coupling effect.The achieved modulation efficiency was 1.5 dB/V with an energy consumption of just 800 fJ/bit [52].
Another way to realize optical modulators is to exploit the electro-refractive effect.In 2017, Sorianello et al. reported a graphene-silicon phase modulator by exploiting the Mach-Zehnder interferometer (MZI) configuration [Fig.3(f)] [60].The compact (300 μm) device exhibits an enhanced modulation efficiency of 0.28 V•cm (outperforming the state-of-the-art silicon depletion-mode modulators [61]), a high extinction ratio of 35 dB, and suppressed optical loss when operated in the Pauli blocking regime.The device had an electro-optical bandwidth of 5 GHz and operated at 10 Gb/s with 2 V peak-to-peak driving voltage in a pushpull configuration.

Thermo-optic modulators
Thermo-optic modulation relies on the change of material refractive index induced by temperature.This kind of modulator has long time constant, limiting device operation speed to anywhere between the kilohertz to megahertz range.Graphene is considered as an attractive material for energy-efficient, and compact, and cost-effective thermal management due to its high intrinsic thermal conductivity, electric conduction, transparency, and ease of fabrication.Specifically, graphene has been used as an efficient heat conductor, electrical heater, and optical heater for thermo-optic modulation primarily in silicon photonics.As a transparent flexible conductor, graphene has been used for efficient thermal tuning of a silicon MZI and micro-disk resonator [62].Other integrated nanophotonic structures, including graphene plasmonic waveguides [63], microrings [64,65], microdisks [Fig.3

(g)]
[66], slow-light photonic crystal waveguides [Fig.3(h)] [67], and nanobeam cavities [68,69] have been introduced to reduce the power consumption by increasing either the group index or the quality factor.Use of resonators also increases the thermal and optical confinement and reduce the thermal time constant.As a result, graphene-based thermo-optic modulators have exhibited a high modulation depth up to 30 dB [63], a 10%-90% rise time of 750 ns [64,67], a large energy efficiency from 1.67 nm/mW [66] to 10 nm/mW [68], a low switching power of 0.11 mW [68], and a figure of merit (defined as the inverse of the product of rise time and power consumption) as large as 0.67 nW −1 s −1 [67], comparable or even better than the traditional silicon photonic thermo-optic modulators [70].Due to this high performance, graphene-based thermo-optic modulators have recently been proposed to improve optical phased arrays (OPAs) essential for light detection and ranging (LIDAR) systems [71].

All-optical modulators
The growing research in optical interconnects may ultimately need all-optical modulation to circumvent the excess energy consumption and latency during the electro-optic signal conversion [72].The majority of all-optical modulators using vdW materials are based on saturable absorption for absorptive modulation and optical Kerr effect for refractive modulation.Recent theoretical analysis proved that for graphene-on-silicon all-optical modulators, absorptive modulation mode is more suitable with a required optical pump intensity of 10MW/cm 2 and a short length of ~200 μm, much better than those based on refractive modulation and far better than those based on bare silicon waveguides [73].With the aid of saturable absorption and photoluminescence of WS 2 , Yang et al. modulated and amplified an optical signal at 640 nm with a 532 nm pump on a silicon nitride waveguide [74].Another way to perform all-optical modulation is via photogating effect.Yu et al. demonstrated such all-optical modulation on graphene-silicon hybrid waveguides [Fig.3(i)] [75].By pumping the device with an ultra-low visible light power of 0.1 mW (corresponding to 2 W/cm 2 in intensity, seven orders of magnitude lower than that for saturable absorption), carriers are generated in silicon.Assisted by the built-in electric field in the graphene-silicon junction, the Fermi level of p-type graphene is lowered, resulting in suppressed graphene absorption over a broadband (>80 nm) infrared probe light.Thanks to the ultra-long diffusion length of the carriers originated from the large mobility of graphene, this all-optical modulation can also be nonlocally conducted with a distance between the device and the spot of pump light longer than 4 mm, implying its applications in position sensing and remote controlling [76].

Photodetectors
The discovery of graphene generated an intense research effort on understanding its photoresponse, as graphene has exceptional high carrier mobility, strong light absorption coefficient an far, different thermoelectric underlying m photodetector can be found photodetector waveguides o improve optic also be appea

Waveguide-Integrated photodetectors
Instead of an optical resonator, high responsivity detectors can also be realized by evanescent coupling to an optical waveguide.Integration with waveguides provides high responsivity (tens to hundreds mA/W), high speed (~20 GHz) and relative broad spectral operation, covering all fiber-optic telecommunication bands [Figs.4(c) and 4(d)] [91][92][93].Based on the progress, the continued effort further optimized the device geometry and improve the RC time constant to enhance the operation bandwidth: different groups have reported ultrafast operation speed, ranging from 40 to 180 GHz [94][95][96][97][98].More strikingly, those ultrafast integrated photodetectors can be realized by using graphene, grown by chemical vapor deposition (CVD), opening the door for the wafer scale device fabrications and integrations.
In addition to graphene, a waveguide-integrated multilayer BP photodetector was reported recently.The initial study indicates this integrated device could exhibit high responsivity (~hundreds mA/W) and 3 GHz operation speed in an ambient atmosphere condition [Fig.4(e)] [99].Importantly, due to the presence of a band gap in BP, the dark current of BP detectors can be more than three orders of magnitude lower than other photodetectors.Such feature also suppresses the background noise level, enabling more sensitive measurements.

Other light trapping effects for large area photodetections
For many practical optoelectronics applications, it is desirable to create photonic structures that can enhance the absorption of large-area photoactive layers.To this end, Jariwala et al. exploit the features of high refractive indices and absorption coefficients of TMDCs and demonstrated that near unity absorption could be realized by placing an ultrathin (<15 nm) TMDCs on the reflective metal due to the thin film interference effect (i.e.strongly damped optical modes of TMDCs/metal heterostructures) [100,101].Other research groups also showed that large area light trapping can be achieved by directly attaching the 2D or vdW materials onto the substrate with prepatterned Fano-resonant structures or a plasmonic antenna array [102][103][104].Critically, by exploiting these structures, it is possible to create an atomically-thin and large-area photovoltaic device with its internal quantum efficiency higher than 70% or photodetector with a photo-gain higher than 10 5 [103,105].

Nonlinear optics
2D materials, particularly TMDCs, recently emerged as a promising material for nonlinear optics.In particular, due to the lack of centro-symmetry and large excitonic binding energy in the single layer limit, the monolayer TMDCs possess large (2) χ values [106].But with an even number of layers, this nonlinearity disappears as the material becomes centrosymmetric.Here, we point out several prominent results in 2D materials integrated nonlinear nanophotonics.A more detailed discussion on this topic can be found out in a recent review [107].
Majumdar et al. theoretically analyzed the layered material clad nano-cavity system and to find the effective nonlinearity [108].Several groups experimentally demonstrated second harmonic generation (SHG) enhanced by nanophotonic structures, including DBR, PhCC, and waveguides.Day.et al. demonstrated SHG using a 2D MoS 2 integrated inside a DBR cavity under pulsed excitation at 800 nm [109], where the DBR is formed by using alternating layers of silicon nitride and silicon dioxide to minimize the light absorption [Fig.5(a)].The reported enhancement is around 10.The lower enhancement factor can be attributed to low Q-factor of ~20, and the large mode-volume of the DBR cavity.Using a 2D WSe 2 clad silicon PhCC, Fryett et al. demonstrated enhanced SHG.In this work they used a pulsed laser operating within the telecommunication band (~1550 nm) [110].Figure 5(b) shows the SEM of a 2D WSe 2 clad silicon PhCC.When the cavity (resonant at ~1490 nm) is resonantly excited using a pulsed laser, a strong second harmonic signal is observed around 745 nm [Fig.5(c)].In the gaussian background signal from the doubling of the laser by 2D material outside the cavity, they observed a Lorentzian peak at exactly the half-wavelength of the cavity resonance, signifying the cavity-enhanced SHG.The reported enhancement is ~100, primarily because of the lack of a cavity mode at the second harmonic frequency and moderate Q-factor of the cavity (Q ~500).Moreover, silicon absorbs a significant amount of the second harmonic signal.A promising solution will be to make a doubly resonant cavity out of wide bandgap materials, such as silicon nitride or silicon dioxide.Phase-matched SHG was also recently reported in a silicon photonic waveguide using a 2D MoSe 2 [Fig.5(d)] [111].By engineering the waveguide cross-section, the effective mode-indices of the fundamental and second harmonic modes are matched, which ensures the phase-matching of the light at the fundamental and second harmonic frequencies.Furthermore, the development of doublemode photonic structures is desirable for enhancing the conversion efficiency.Yi et al. demonstrated a double-mode cavity-enhanced SHG from MoS 2 using a mechanically tunable Fabry-Perot cavity [112].The FP cavity comprises of a DBR as the bottom mirror, and the top mirror is a capacitively actuated silver mirror [Fig.5(e)].Via mechanical actuation, the fundamental and the second harmonic modes were tuned to the desired frequencies.In this experiment, they used a 2D MoS 2 as the nonlinear material, and despite their low cavity Qfactor, the reported enhancement is ~3000.This experiment used a pulsed excitation near 930 nm.Further improvement is possible by improving the cavity Q-factor, and reducing the mode-volume, which is often very large in Fabry-Perot cavities.
The evanescent coupling nature of 2D materials with nanophotonic structures also brings new design principles.Despite increasing fabrication capabilities, it is challenging to precisely fabricate SHG devices with small footprint that are quasi phase-matched.For the conventional device made of the nonlinear material itself, the optical modes are fixed once it is fabricated, and the patterning of the nonlinear material completely changes the confined modes.Fryett et al. theoretically investigated the post-fabrication pattering of TMDCs on ring cavities to reach phase matching [Figs.5(f) and 5(g)], as the extremely thin 2D material cladding on the cavity would not dramatically affect the modes.The analysis suggests that by patterning 2D materials on a nanocavity with a low inherent nonlinear overlap, we can approach the values of the nonlinear overlap obtained by perfect phase-matching [113].[110], Institute of Physics Publishing; (d) [111], Nature Publishing Group; (e) [112], American Chemical Society; (f-g) [113], Optical Society of America.

Van der Waals nanophotonics
In the previous sections, we discussed a wide range of devices via integrating 2D materials or vdW heterostructures with optical resonators or waveguides, which are composed of traditional bulk materials.Distinct from those works, one promising research direction is to directly create the whole nanophotonic structure out of vdW materials.For example, thin Fresnel lenses and gratings have been realized by patterning multilayer high refractive index MoS 2 [Fig.6(a-c)], demonstrating high scattering efficiency [114].Insulating hBN can support low-loss phonon polaritons, making it ideal for developing mid-infrared hyperbolic metasurfaces [Fig.6(d)] [115].Furthermore, hBN intrinsically hosts a high density of defect centers, useful for room temperature single photon source.By fabricating a PhCC from hBN, a unique emitter-cavity hybrid system can be realized with potential applications in quantum information technology [Fig.6(e)] [116].Very recently, dielectric metalenses made of vdW materials are demonstrated.Leveraging the incomplete phase design and high indices of vdW materials, the thickness of metalenses can approach λ/10, while still exhibiting near diffraction-limited focusing and optical imaging [Fig.6(f-h)].More intriguingly, due to their vdW nature, the fabricated nanostructured metalenses can be peeled off and then transferred onto different substrates, including flexible substrates, for stretching and tunable focusing applications [117].We note that, the current development of vdW nanophotonics is still in the early stage, but these recent works have shown the promising future of vdW nanophotonics.from: (a-c) [114], Nature Publishing Group; (d) [115], American Association for the Advancement of Science; (e) [116], Nature Publishing Group; (f-h) [117], American Chemical Society.

Outlook and challenges
Nanophotonic structures integrated with vdW materials enable many novel devices, useful for photonic integrated circuits.It is expected that the vdW materials will provide more opportunities to this research field, as vdW family is still expanding and their unusual properties are revealed all the time.For instance, many TMDCs possess unique valley pseudospin properties [118].By exploiting these features, it is possible to develop valleyoptoelectronics to further expand the bandwidth of optical information processing, because the valley information can be either encoded or decoded with the spin angular momentum of photons.Unfortunately, despite progress in TMDC-based optical spin-polarized LEDs or detectors [10,[119][120][121][122], their degree of circular polarizations is still limited.Towards this end, a promising strategy is to integrate those valley-optoelectronics with chiral nanophotonic devices, and some initial works have shown the possibility to control the propagation directions of different handedness of light [123].More recent studies have confirmed the possibility of showing ferromagnetism, ferroelectricity, superconductivity, and phase transitions, even if the thickness of vdW materials are approaching to the very limit of 2D [11].These properties can be further built into either lateral, vertical or even mixeddimensional vdW heterostructures [124,125], enabling new architectures and operation principles of memory or tunable 2D materials integrated photonic devices.
Despite the promising future of 2D-integrated nanophotonic devices, it is notable that many of the above-mentioned demonstrations are still at the single device level, and the 2D materials are generally obtained via mechanical exfoliation method.To extend into a system level integration, one important step is to manufacture arrays of 2D-based devices at the wafer scale.At this point, the progress of growing wafer-scale graphene using chemical vapor deposition method and TMDCs via metal-organic chemical vapor deposition techniques have shown significant promise [11,[126][127][128].But the synthesized materials are usually polycrystalline and the inevitably formed grain boundaries would not only cause carrier scattering but also locally affect the optical and electronic properties of materials, which could reduce the quantum efficiency of 2D-based optoelectronics.Additionally, the synthesized materials generally suffer from non-uniform doping levels and anisotropic strains across the sample.As a result, it remains challenging to fabricate an array of 2D-based devices with reproducible performances and producing the films with wafer-scale homogeneity is critical to extend the 2D or vdW integrated photonics into the system level.
At a single device level, a critical technical challenge is that the Q-factor of PhCC could degrade by more than one order of magnitude and the resonance wavelength shift significantly, as the cavity experiences multiple 2D transfer processes.Moreover, the extents of both the resonance shift and Q-degradation are random and vary between transfer to transfer.In this regard, to develop more robust transfer techniques is necessary.By reducing the additional loss from the transfer process, an electrically-driven low-threshold laser at the nanoscale and attojoule-level modulators or detectors based on 2D materials could be realized.For vdW nanophotonics, most of the reported works are focused on developing passive components.But it is noteworthy that several vdW materials have anisotropic, nonlinear or structural phase-change properties, and such features could be tuned via applying an external electric field.Thus, by engineering device architectures, it is possible to realize gate-controlled active vdW nanophotonics.Furthermore, a variety of material properties can be assembled into a single device by stacking different vdW materials together to form complicated heterostructures, which offer tremendous opportunities for developing more complicated and functional nanophotonics.

Fig. 2 .
Fig. 2. Cavity-integrated vdW light emitting diode.(a) Schematic of the device structure.(b) Electroluminescence signal measured from on-cavity and off-cavity areas.(c) Modulation of electroluminescence at 1 MHz speed.Figures are adapted with permission from [40], American Chemical Society.

Fig. 5 .
Fig. 5. Cavity-integrated nonlinear optics.(a) DBR cavity enhanced MoS 2 SHG.(b) SEM image of the fabricated Si PhCC with monolayer WSe 2 on top.(c) The SHG spectrum measured from the device shown in (b).(d) Enhanced SHG of MoSe 2 using a Si waveguide.
(e) SHG of MoS 2 enhanced by a double mode DBR cavity.(f-g) Phase-matching nonlinear optics via patterning the 2D material.Figures are adapted with permission from: (a) [109], Optical Society of America; (b-c)
Fig. 6.Nanophotonics based on vdW materials.(a) The structure of microlens made of a MoS 2 flake.(b) Intensity distribution at the focal plane of the MoS 2 microlens.(c) Schematic of a nanostructured MoS 2 grating.(d) Mid-infrared hyperbolic metasurface made of nanostructured hBN.(e) A suspended PhCC made of hBN.(f) Optical image of nanostructured hBN metalenses.(g-h) Intensity profiles of focal spots measured from hBN metalenses shown in (f).Optical imaging using hBN metalenses shown in (f).Figures are adapted withpermission from: (a-c)[114], Nature Publishing Group; (d)[115], American Association for the Advancement of Science; (e)[116], Nature Publishing Group; (f-h)[117], American Chemical Society.